Step 1 :Substitute -2 into the function: \(P(-2) = -2(-2)^2 + 10(-2) + 15\)
Step 2 :Simplify the exponent: \(P(-2) = -2(4) + 10(-2) + 15\)
Step 3 :Perform the multiplication: \(P(-2) = -8 - 20 + 15\)
Step 4 :Perform the addition and subtraction: \(P(-2) = -28 + 15\)
Step 5 :Simplify the expression: \(P(-2) = -13\)
Step 6 :The function value \(P(-2)\) is \(\boxed{-13}\)